/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 21 In Problems 11鈥�34, solve each ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 7: Q. 21 (page 465)

In Problems 11鈥�34, solve each equation on the interval 0鈮�胃鈮�2蟺.

sec3胃2=-2

Short Answer

Expert verified

The solution set is4蟺9,8蟺9,16蟺9.

Step by step solution

01

Step 1. Given Information 

In the given problem we have to solve each equation on the interval 0鈮�胃鈮�2蟺.

sec3胃2=-2

02

Step 2. In the interval [0,2π), the sine function equals -2 at 2π3

So, we know that 3胃2must equal 2蟺3.

To find these solutions, write the general formula that gives all the solutions.

role="math" localid="1646590784861" 3胃2=2蟺3+2蟺苍

Multiply with 23on both side

role="math" localid="1646591123910" 3胃2路23=232蟺3+2蟺苍胃=23路2蟺3+23路2蟺苍胃=4蟺9+4蟺苍3

胃=8蟺9+4蟺苍3

03

Step 3. The general formula is θ=4π9+4πn3,θ=8π9+4πn3

So the value of given function in interval [0,2蟺)is

role="math" localid="1646591235840" 胃=4蟺9+4蟺脳03胃=4蟺9+4蟺脳13胃=8蟺9+4蟺脳03胃=4蟺9胃=4蟺9+4蟺3胃=8蟺9胃=4蟺9胃=4蟺+12蟺9胃=4蟺9胃=16蟺9

So the solution set is4蟺9,8蟺9,16蟺9

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

find the exact value of the expression

sin 285掳sin 75掳

Establish each identity.

1+sin胃+cos胃1+sin胃-cos胃=1+cos胃sin胃

Sawtooth Curve An oscilloscope often displays a sawtooth curve. This curve can be approximated by sinusoidal curves of varying periods and amplitudes. A first approximation to the sawtooth curve is given by

y=12sin(2蟺x)+14sin(4蟺x)

Show thaty=sin(2蟺x)cos2(蟺x)

Find the exact value of the expression:

sin195掳路cos75掳

In Problems 9鈥�36, find the exact value of each expression.

sintan-1-1
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation

Calculus

Read Explanation

Pure Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.